3000 Solved Problems In Linear Algebra Pdf Free Download [BEST]

Discover Linear Algebra is an open-access linear algebra textbook that uses a discovery-based approach to introduce students to this beautiful subject.The philosophy of this treatment is to allow the undeniable core ideas and patterns of linear algebra to reveal themselves to the student.

I usually recommend 3,000 Solved Problems in Linear Algebra (Lipschutz) as an inexpensive supplementary textbook for students to use as a source of solved practise problems.The following page contains chapter-by-chapter lists of recommended practise problems from this supplementary text for the one-semester version of Discover Linear Algebra: A first course in linear algebra.

3000 Solved Problems In Linear Algebra Pdf Free Download

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During the pandemic I seized the opportunity to fully "flip" my linear algebra courses and recorded lecture videos for each chapter.Note that these are intended to be watched after students have attempted the corresponding Discovery Guide.

In this insight, I will give a roadmap to learn the basics of linear algebra for students. Aside from calculus, linear algebra is one of the most applicable subjects of all of mathematics. It is used a lot in engineering, sciences, computer sciences, etc. The right way to see linear algebra is with a focus on vector spaces and linear transformations. So I will suggest books with this perspective in mind.

There are essentially two prerequisites for studying linear algebra, besides the usual high school courses which include algebra, geometry and trigonometry (no, calculus is not a formal prerequisite). Those are that you must be used to proofs, and that you must have seen the basics of matrices and determinants.

For an introduction to linear algebra, I highly prefer Friedberg, Insel, Spence over other books. Nevertheless, there are some other books on linear algebra that I really like, but that are perhaps not suited for an introduction. Let me list the other books that I really like.

This is a great book that focuses more on the applied numerical side of linear algebra. It contains a lot of insights and computational rules that cannot be found in other books of this level. Do you think that a low determinant means that a matrix is close to singular? This book will dispel you of these and similar notions.

-D-Meyer-Analysis-Applied/dp/B008UB4KJI

Prerequisites: None

This is a book that not only covers linear algebra, but also geometric algebra. Geometric algebra is a great theory that is very applicable in physics and computer science. In mathematics, they are known as Clifford algebras. They form a neat unification of quaternions, forms, etc. It also presents a very neat way of seeing the determinant, something that introductory courses on linear algebra do not present.

-Geometric-Algebra-Alan-Macdonald/dp/1453854932

Prerequisites: None

This is a book that covers basis-free linear algebra. It makes extensive use of the wedge product, and not of usual matrix and vector computations. It is a nice companion to learning geometric algebra. It is very good as a sequel to the usual linear algebra books.

-Algebra-via-Exterior-Products/dp/140929496X

Prerequisites: A course in linear algebra like Friedberg

Anyone intending to tackle both the Linear Algebra Insight and the Intro Analysis Insight, will probably notice that there is some overlap between the two. Micromass was kind enough to provide an efficient way to navigate through them, which he gave permission to repost here:"So if you're doing both of them, then I would recommend:Do Bloch Analysis and MacDonald in parallel.Then after Bloch do Hubbard, and after MacDonald do Axler.This way you'll get everything without too much repetition. MacDonald will teach you the basics of LA (vector spaces, linear transformations), but will also do geometric algebra. Hubbard will repeat the basics but not from a point of view of analysis. And Axler will do things in the most rigorous light. Avoiding determinants in Axler is not a problem since Hubbard and MacDonald cover those. What do you think? It is possible to do Treil instead of Axler if you prefer Treil, but it's really up to you."

I started with Strang's "Introduction" but I'm struggling to gain traction. I think a primary problem is that there are just not many worked examples. If I am trying to learn algebra or calc 1 there are dozens of problems in each chapter or section, each of which is answered in a study guide. It is hard to "not get it" after a few dozen problems make you think through everything. Clearly some sections are easier than others and require more work than others.

But the linear algebra texts' I've seen seem to be written for more...mathematician types? The kind that read the chapter, and only need a few well-placed problems without narrative solutions to get it? I am jealous of you people.

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